1. **State the problem:** Solve for $n$ in the equation $52 = \frac{n}{3}$. 2. **Formula and rules:** To isolate $n$, multiply both sides of the equation by 3 to cancel the denominator. 3. **Intermediate work:** Multiply both sides by 3: $$3 \times 52 = 3 \times \frac{n}{3}$$ This simplifies to: $$156 = \cancel{3} \times \frac{n}{\cancel{3}}$$ 4. **Simplify:** The right side simplifies to $n$, so we have: $$n = 156$$ 5. **Answer:** The value of $n$ is 156.